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Specific surface area of overlapping spheres in the presence of obstructions
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10.1063/1.4790691
/content/aip/journal/jcp/138/7/10.1063/1.4790691
http://aip.metastore.ingenta.com/content/aip/journal/jcp/138/7/10.1063/1.4790691
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Figures

Image of FIG. 1.
FIG. 1.

Calculated specific surface area versus relative size of obstructing particles and voids, for different values of the porosity. Each point on the graph is the average of 50 simulations. In all of the cases shown here, the obstructing spheres occupy 20% of the volume.

Image of FIG. 2.
FIG. 2.

Calculated specific surface area versus relative size of obstructing particles and voids, for different volume fractions of obstructing spheres (shown in the legend). Each point on the graph is the average of 50 simulations. In all of the cases shown here, the voids occupy 40% of the volume.

Image of FIG. 3.
FIG. 3.

Simulated configurations for different values of R o/R being (a) 1, (b) 2, (c) 3. The black components are the obstructing spheres, the dark grey components are the overlapping spheres, and the light grey is the matrix phase.

Image of FIG. 4.
FIG. 4.

Graphs showing the volume of isolated voids, relative to the volume of a single void sphere, for two different values of R o/R. In each case there is 20% volume fraction of obstructing spheres and 30% volume fraction of voids.

Image of FIG. 5.
FIG. 5.

Graph showing the number of isolated voids per unit volume, as a function of R o/R, for different values of ϕ o, as shown in the legend. The vertical dotted line marks the point R o/R = 1.054, indicating the point at which obstructing spheres on a cubic lattice would preclude overlap of void spheres.

Image of FIG. 6.
FIG. 6.

Calculated effective permeability (left hand axis) and specific surface area (right hand axis) versus R o/R, when ϕ o = 0.2. Each point on the graph represents an average of 25 simulations.

Image of FIG. 7.
FIG. 7.

Calculated effective Young's modulus (left hand axis) and specific surface area (right hand axis) versus R o/R, when ϕ o = 0.2. Each point on the graph represents an average of 25 simulations.

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/content/aip/journal/jcp/138/7/10.1063/1.4790691
2013-02-15
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Specific surface area of overlapping spheres in the presence of obstructions
http://aip.metastore.ingenta.com/content/aip/journal/jcp/138/7/10.1063/1.4790691
10.1063/1.4790691
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